Not nearly enough power. I've heard what would be needed would be in the 20 kiloton range to collapse it fully. Thats a lot of conventional explosives. Not to mention that many don't work under water. You gotta deal with the pressure in addition to the water.
With a nuke you dig one hole send in one bomb and you're good.
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With a nuke you dig one hole send in one bomb and you're good.